Defining parameters
| Level: | \( N \) | \(=\) | \( 5312 = 2^{6} \cdot 83 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5312.t (of order \(16\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5312 \) |
| Character field: | \(\Q(\zeta_{16})\) | ||
| Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5312, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5392 | 5392 | 0 |
| Cusp forms | 5360 | 5360 | 0 |
| Eisenstein series | 32 | 32 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(5312, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.